What is the Least Common Multiple of 54598 and 54603?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 54598 and 54603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54598 and 54603, than apply into the LCM equation.

GCF(54598,54603) = 1
LCM(54598,54603) = ( 54598 × 54603) / 1
LCM(54598,54603) = 2981214594 / 1
LCM(54598,54603) = 2981214594

Least Common Multiple (LCM) of 54598 and 54603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54598 and 54603. First we will calculate the prime factors of 54598 and 54603.

Prime Factorization of 54598

Prime Factorization of 54603

Now multiplying the highest exponent prime factors to calculate the LCM of 54598 and 54603.

LCM(54598,54603) = 2¹ × 27299¹ × 3² × 6067¹
LCM(54598,54603) = 2981214594